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3 years ago

Simplify (2x^2y)^3 (-3xy^2)^2

Mathematics

1 answer:

solniwko [45]3 years ago

8 0

Simplified it's 576x^8y^7

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Find the coordinates of S after a rotation of the triangle 90 degrees counterclockwise about the origin

Neko [114]

We first start by finding the actual coordinates of the pre - image's point S.

Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:

The point's x coordiate is 4 to the left from the origin, or -4.

The point's y coordinate is 4 up from the origin, or 4.

So, the coordinates of Point S is (-4, 4).

Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:

(-4, 4) --> (-4, -4)

So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).

4 0

2 years ago

A taste test asks people from Texas and California which pasta they prefer,

melamori03 [73]

Answer:

Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

Step-by-step explanation:

We are given that a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. The table is given in the question.

A person is randomly selected from those tested.

And we have find that are being from Texas and preferring brand A independent events or not.

Firstly, we know that these two events will be independent when;

P(Texas) = P(Texas/brand A)

Now, P(Texas) = $\frac{\text{Number of people from Texas}}{\text{Total number of people}}$

= $\frac{125}{275}$ ≈ 0.45

Also, P(Texas/brand A) = $\frac{P(Texas \bigcap Brand A)}{P(Brand A)}$

= $\frac{\text{Number of people from Texas and preferring brand A}}{\text{Number of people preferring brand A}}$

= $\frac{80}{176}$ ≈ 0.45

Therefore, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

6 0

2 years ago

I don’t understand how any help

Alona [7]

Answer:yellow .

Step-by-step explanation: you’re moving over 2 to the right. Right is positive. Down is negative, and since you’re doing 2 to the right, and down 1, we have (2,-1)

5 0

2 years ago

Can someone help?

nalin [4]

No no no no no no no no no jk its c your welcome

7 0

3 years ago

What’s the answer to this question???????

saveliy_v [14]

Answer:

Step-by-step explanation:

if YZ bisects VW then VX = XW

if VX = 26 then XW = 26 also

5 0

2 years ago